Your problem can be solved using something similar to the aforementioned "trick", as shown below.

I've identified the three changes I've made using "# <-----". 

use strict;
use warnings;
use Devel::Cycle;

package A;

sub new {
    my ( $class, $href ) = @_;
    my $self = { dbi => $$href{dbi} };
    $self->{helper} = Helper->new(
        helper_function => sub {
            #$self->this_is_from_A(@_)
            shift->this_is_from_A(@_)   # <-----
        },
    );
    bless $self, $class;
  
}

sub do_something {
    my $self = shift;
    #$self->{helper}->called_from_helper();
    $self->{helper}->called_from_helper($self);   # <-----
}

sub this_is_from_A {
    my ( $self, $arg ) = @_;
    print "$arg\nthis_is_from_A using $self->{dbi}\n";
}

package Helper;
sub new {
    my $class = shift;
    my %def   = ( a => "something" );
    my %arg   = ( %def, ref $_[0] eq "HASH" ? %{ $_[0] } : @_ );
    my $self  = \%arg;
    bless $self, $class;
}

sub called_from_helper {
    my $self = shift;
    print "called_from_helper\n";
    #$self->{helper_function}->("param from Helper");
    $self->{helper_function}->(@_, "param from Helper");   # <-----
}

package main;
my $a = A->new( { dbi => "some dbi object" } );
$a->do_something();
$a->do_something();
find_cycle($a);

[download]

In reply to Re^3: Avoiding circular references by ikegami
in thread Avoiding circular references by frazap

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